jee-main 2025 Q19

jee-main · India · session1_24jan_shift1 Stationary points and optimisation Geometric or applied optimisation problem

Consider the region $R = \left\{(x, y) : x \leq y \leq 9 - \frac{11}{3}x^2,\, x \geq 0\right\}$. The area of the largest rectangle of sides parallel to the coordinate axes and inscribed in $R$, is:
(1) $\frac{730}{119}$
(2) $\frac{625}{111}$
(3) $\frac{821}{123}$
(4) $\frac{567}{121}$

Consider the region $R = \left\{(x, y) : x \leq y \leq 9 - \frac{11}{3}x^2,\, x \geq 0\right\}$. The area of the largest rectangle of sides parallel to the coordinate axes and inscribed in $R$, is:\\
(1) $\frac{730}{119}$\\
(2) $\frac{625}{111}$\\
(3) $\frac{821}{123}$\\
(4) $\frac{567}{121}$

Paper Questions

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